Question

Which of the following are the correct answers properties of slope ?

Check all that apply
A. A steep line has negative slope
B. The slope of a line that moves up from left to right is positive
C. the slope of a line is always positive
D. Some lines have an unedified slope.
E. If two slopes have the same slopes, then they are the same line

Answer 1

B.The slope of a line that moves up from left to right is positive.

D.Some lines have an undefined slope.

Explanation:

The equation of a line is given by:

`y = mx+b`

In which m is the slope and b is the y-intercept.

Among the properties of the slope, there are:

• The slope is the rate of change, that is, how much y changes when x changes by 1.
• If the slope is positive, the line is increasing, that is, it moves up from left to right, otherwise it is decreasing, that is, it moves down from left to right.
• The higher the absolute value of the slope, the steeper the line is.
• Constant horizontal line has slope 0.
• Constant vertical line has slope undefined.
• If two lines are parallel, they have the same slope.
• If two lines are perpendicular, the multiplication of their slopes is -1.

Thus, the correct options are:

B.The slope of a line that moves up from left to right is positive.

D.Some lines have an undefined slope.